Question

How do you convert 15 feet to centimeters?

Answer 1

`15` feet is equal to `457.2` `cm.`

Explanation:

Each feet has `12` inches and

each inch is equivalent to `2.54` `cm.`

Hence one feet is equal to `1xx12xx2.54` `cm.`.

and `15` feet is equal to `15xx12xx2.54` `cm.`

= `180xx2,54=457.2` `cm.`

Answer 2

457.2 cm

Explanation:

`color(brown)("Using ratios. Note that a ratio when written this way is not the same")` `color(brown)("thing as a fraction. It is comparing the count of the top number to the")`
`color(brown)("count of the bottom number.")`

`color(green)("In a fraction the bottom number is used as an indicator of size, not a count")`

Using the conversion of 1 inch is approximately `2.54` cm

Write this as: `(2.54" cm")/(1" inch")`

'..............................................................................................................

1 foot has 12 inches so to see how many centimetres there are in 1 foot we need to change the 1 inch in `2.54/1` into 12 inches. So we need 12 lots of `2.54/1`.

What we do to the bottom we do to the top

Multiply by 1 but in the form of `1=12/12`

`2.54/1xx1" "->" "(2.54xx12)/(1xx12)" "=" "30.48/12`

`color(brown)("So 30.48 is the number of centimetres in 12 inches (1 foot)")`

'...................................................................................................................

But we need 15 feet so we need 15 lots of `30.48/12`

Multiply by 1 but in the form of `1=15/15`

`30.48/12xx1" "->" "30.48/12xx15/15" "=" "(457.2" cm")/(180" inches")`

where 180 inches is the same length as 15 feet

`color(brown)("So 457.2 is the number of centimetres in 180 inches (15 feet)")`